In this case it's only 574 people causing trouble for 30,000,000. How many of those 30,000,000 with pitch forks and and torches would it take to fire all 574?
It would be a tough campaign against a high tech civilization. Here's a task list of essentials.
1.) Knock out communications
2.) Destroy Power plants
3.) Destroy military installations
4.) Occupy major cities
5.) Establish concentration camps for the population.
6.) Occupy minor cities
7.) Control food and fuel supplies
It would take millions of battle droids to occupy an entire planet. If you could destroy their food supply you could starve them into submission in a week.
That is if you are interested in the territory. If not you could just stear a giant asteroid at the planet and move on.